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arXiv 0811.0848math.DGmath.AP
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On the global well-posedness of the one-dimensional Schrodinger map flow

Igor Rodnianski, Yanir A. Rubinstein, Gigliola Staffilani

英文摘要:

We establish the global well-posedness of the initial value problem for the Schrodinger map flow for maps from the real line into Kahler manifolds and for maps from the circle into Riemann surfaces. This partially resolves a conjecture of W.-Y. Ding.

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